42013600 has 36 divisors (see below), whose sum is σ = 102567654. Its totient is φ = 16805120.

The previous prime is 42013583. The next prime is 42013619. The reversal of 42013600 is 631024.

It can be written as a sum of positive squares in 3 ways, for example, as 29986576 + 12027024 = 5476^2 + 3468^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25459 + ... + 27058.

Almost surely, 2^42013600 is an apocalyptic number.

42013600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42013600 is an abundant number, since it is smaller than the sum of its proper divisors (60554054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42013600 is a wasteful number, since it uses less digits than its factorization.

42013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52537 (or 52524 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 42013600 is about 6481.7898762610. The cubic root of 42013600 is about 347.6401794575.

Adding to 42013600 its reverse (631024), we get a palindrome (42644624).

The spelling of 42013600 in words is "forty-two million, thirteen thousand, six hundred".